Oscillation tests for first-order linear differential equations with non-monotone delays

Abstract

Abstract We study the oscillation of a first-order linear delay differential equation. A new technique is developed and used to obtain new oscillatory criteria for differential equation with non-monotone delay. Some of these results can improve many previous works. An example is introduced to illustrate the effectiveness and applicability of our results.

Keywords

• Non-monotone delays
• Oscillation
• Delay differential equations